Pregled bibliografske jedinice broj: 614025
On several new Hilbert-type inequalities involving means operators
On several new Hilbert-type inequalities involving means operators // Acta mathematica sinica-english series, 29 (2013), 8; 1493-1514 doi:10.1007/s10114-013-2545-x (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 614025 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On several new Hilbert-type inequalities involving means operators
Autori
Adiyasuren, Vandanjav ; Batbold, Tserendorj ; Krnić, Mario
Izvornik
Acta mathematica sinica-english series (1439-8516) 29
(2013), 8;
1493-1514
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hilbert inequality; Hilbert-type inequality; Hardy inequality; Carleman inequality; Knopp inequality; the best possible constant factor; arithmetic mean; geometric mean; harmonic mean
Sažetak
In this paper we establish several new Hilbert- type inequalities with a homogeneous kernel, involving arithmetic, geometric, and harmonic mean operators in both integral and discrete case. Such inequalities are derived by virtue of some recent results regarding general Hilbert-type inequalities and some well-known classical inequalities. We also prove that the constant factors appearing in established inequalities are the best possible. As an application, we consider some particular settings and compare our results with previously known from the literature.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Mario Krnić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
